ANSWER
D.
[tex]g(x) = 1 - {x}^{2} [/tex]
EXPLANATION
The equation of the blue graph is
[tex]f(x) = 4 - {x}^{2} [/tex]
This graph has been shifted down 3 units to obtain the red graph.
The red graph now has a y-intercept of 1.
The equation of the red graph is
[tex]g(x) = 1 - {x}^{2} [/tex]
The correct choice is D.
